For a family of two-time singularly perturbed PDEs, the analytic solution decomposes into a convergent part plus two parts with Gevrey asymptotic orders 1/k1 and 1/k2 in the perturbation parameter.
Balser,Formal power series and linear systems of meromorphic ordinary differential equations.Universitext
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.CV 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Parametric formal Gevrey asymptotic expansions in two complex time variable problems
For a family of two-time singularly perturbed PDEs, the analytic solution decomposes into a convergent part plus two parts with Gevrey asymptotic orders 1/k1 and 1/k2 in the perturbation parameter.